FARIDA - Princess Farida


Once upon time there was a cute princess called Farida living in a castle with her father, mother and uncle. On the way to the castle there lived many monsters. Each one of them had some gold coins. Although they are monsters they will not hurt. Instead they will give you the gold coins, but if and only if you didn't take any coins from the monster directly before the current one. To marry princess Farida you have to pass all the monsters and collect as many coins as possible. Given the number of gold coins each monster has, calculate the maximum number of coins you can collect on your way to the castle.

Input

The first line of input contains the number of test cases. Each test case starts with a number N, the number of monsters, 0 <= N <= 10^4. The next line will have N numbers, number of coins each monster has, 0 <= The number of coins with each monster <= 10^9. Monsters described in the order they are encountered on the way to the castle.

Output

For each test case print “Case C: X” without quotes. C is the case number, starting with 1. X is the maximum number of coins you can collect.

Example

Input:
2
5
1 2 3 4 5
1
10

Output:
Case 1: 9
Case 2: 10

hide comments
scolar_fuad: 2019-10-23 21:00:05

AC in one go ...Basic dp with memorization ...
my 48th one ..
for any help anyone can notify me

clone123: 2019-10-21 22:14:39

My 50th!!
Easy one

lame_username: 2019-10-08 16:20:28

Problem is easy and all, i just forgot to look at the range...
if you're using c++, remember to use long long or get ready for a LOT of WA's

keshav_ism: 2019-10-04 18:36:01

very easy DP question.

emtiaz_001: 2019-09-12 16:24:49

look at the range this cost me 3 wrong answer

shreyrai99: 2019-08-23 12:32:25

My 50th ! :)

medhruv7: 2019-07-27 11:19:19

Nice problem
consider this test case
1
4
10 5 2 1000
it was already mentioned in comments which helped me see where my logic was wrong.

th3ghost: 2019-07-19 07:35:08

one of the most basic problem of dp,a must try for begginers.Learned a lot.
If you couldnt solve it take the help from here:
https://www.geeksforgeeks.org/find-maximum-possible-stolen-value-houses/
but first try as hard as you can.

anand_undavia: 2019-06-17 21:40:12

Input is malformed. Do not use Java, unless of course you want NZECs or well, you are a wizard ;)
Used Java: 2 NZECs
Used C: Ac

aryan29: 2019-06-06 12:49:24

Very good my first DP problem


Added by:hossamyosef
Date:2013-05-13
Time limit:1.237s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:FCIS/ASU Local Contest 2013